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Explicit Parallelizations on Products of Spheres and Calabi-Eckmann Structures
Parton, Maurizio
2003
Abstract
A classical theorem of Kervaire states that products of
spheres are parallelizable if and only if at least one of the factors has odd dimension. We give explicit parallelizations. We
show that the Calabi-Eckmann Hermitian structures on products
of two odd-dimensional spheres are invariant with respect to these
parallelizations.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
35 (2003)
Publisher
Università degli Studi di Trieste. Dipartimento di Matematica e Informatica
Source
Maurizio Parton, "Explicit parallelizations on products of spheres and Calabi-Eckmann structures", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 35 (2003), pp. 61-67.
Languages
en
File(s)